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Simplifying 2(3x + -3) + 2(x + -3) = (2x + -1)(2x + -1) * 2x Reorder the terms: 2(-3 + 3x) + 2(x + -3) = (2x + -1)(2x + -1) * 2x (-3 * 2 + 3x * 2) + 2(x + -3) = (2x + -1)(2x + -1) * 2x (-6 + 6x) + 2(x + -3) = (2x + -1)(2x + -1) * 2x Reorder the terms: -6 + 6x + 2(-3 + x) = (2x + -1)(2x + -1) * 2x -6 + 6x + (-3 * 2 + x * 2) = (2x + -1)(2x + -1) * 2x -6 + 6x + (-6 + 2x) = (2x + -1)(2x + -1) * 2x Reorder the terms: -6 + -6 + 6x + 2x = (2x + -1)(2x + -1) * 2x Combine like terms: -6 + -6 = -12 -12 + 6x + 2x = (2x + -1)(2x + -1) * 2x Combine like terms: 6x + 2x = 8x -12 + 8x = (2x + -1)(2x + -1) * 2x Reorder the terms: -12 + 8x = (-1 + 2x)(2x + -1) * 2x Reorder the terms: -12 + 8x = (-1 + 2x)(-1 + 2x) * 2x Reorder the terms for easier multiplication: -12 + 8x = 2x(-1 + 2x)(-1 + 2x) Multiply (-1 + 2x) * (-1 + 2x) -12 + 8x = 2x(-1(-1 + 2x) + 2x * (-1 + 2x)) -12 + 8x = 2x((-1 * -1 + 2x * -1) + 2x * (-1 + 2x)) -12 + 8x = 2x((1 + -2x) + 2x * (-1 + 2x)) -12 + 8x = 2x(1 + -2x + (-1 * 2x + 2x * 2x)) -12 + 8x = 2x(1 + -2x + (-2x + 4x2)) Combine like terms: -2x + -2x = -4x -12 + 8x = 2x(1 + -4x + 4x2) -12 + 8x = (1 * 2x + -4x * 2x + 4x2 * 2x) -12 + 8x = (2x + -8x2 + 8x3) Solving -12 + 8x = 2x + -8x2 + 8x3 Solving for variable 'x'. Combine like terms: 8x + -2x = 6x -12 + 6x + 8x2 + -8x3 = 2x + -8x2 + 8x3 + -2x + 8x2 + -8x3 Reorder the terms: -12 + 6x + 8x2 + -8x3 = 2x + -2x + -8x2 + 8x2 + 8x3 + -8x3 Combine like terms: 2x + -2x = 0 -12 + 6x + 8x2 + -8x3 = 0 + -8x2 + 8x2 + 8x3 + -8x3 -12 + 6x + 8x2 + -8x3 = -8x2 + 8x2 + 8x3 + -8x3 Combine like terms: -8x2 + 8x2 = 0 -12 + 6x + 8x2 + -8x3 = 0 + 8x3 + -8x3 -12 + 6x + 8x2 + -8x3 = 8x3 + -8x3 Combine like terms: 8x3 + -8x3 = 0 -12 + 6x + 8x2 + -8x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 3x + 4x2 + -4x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + 3x + 4x2 + -4x3)' equal to zero and attempt to solve: Simplifying -6 + 3x + 4x2 + -4x3 = 0 Solving -6 + 3x + 4x2 + -4x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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